5 Calculus • question bank
5 Calculus Question Bank for IB Math AI HL
Practise 190 available IB Math AI HL questions for this unit in one focused question flow.
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Unit coverage
5 Calculus syllabus topics
This IB Math AI HL question bank groups available practice from 18 related syllabus topics. Review a topic before practising if you need to rebuild the underlying concept.
- 5.1 Introduction to Limits
- 5.2 Increasing and decreasing functions
- 5.3 Introduction to derivatives
- 5.4 Tangents and normals
- 5.5 Introduction to integration
- 5.6 Stationary points, local max and min
- 5.7 Optimisation
- 5.8 Trapezoid rule
- AHL 5.9—Differentiating standard functions and derivative rules
- AHL 5.10—Second derivatives, testing for max and min
- AHL 5.11—Indefinite integration, reverse chain, by substitution
- AHL 5.12—Areas under a curve onto x or y axis. Volumes of revolution about x and y
- AHL 5.13—Kinematic problems
- AHL 5.14—Setting up a DE, solve by separating variables
- AHL 5.15—Slope fields
- AHL 5.16—Eulers method for 1st order DEs
- AHL 5.17—Phase portrait
- AHL 5.18—Eulers method for 2nd order DEs